Answer
$\dfrac {\cos \sqrt {x}}{4\sqrt {x\sin \sqrt {x}}}$
Work Step by Step
$\dfrac {d}{dx}\sqrt {\sin \sqrt {x}}=\dfrac {1}{2\sqrt {\sin \sqrt {x}}}\times \left( \dfrac {d}{dx}\left( \sin \sqrt {x}\right) \right) =\dfrac {\cos \sqrt {x}}{2\sqrt {\sin \sqrt {x}}}\times \left( \dfrac {d}{dx}\sqrt {x}\right) =\dfrac {\cos \sqrt {x}}{4\sqrt {x\sin \sqrt {x}}}$
